101292 has 24 divisors (see below), whose sum is σ = 247296. Its totient is φ = 32208.

The previous prime is 101287. The next prime is 101293. The reversal of 101292 is 292101.

101292 = 109² + 110² + ... + 116².

It is a happy number.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101292.

It is not an unprimeable number, because it can be changed into a prime (101293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (10304).

2¹⁰¹²⁹² is an apocalyptic number.

101292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123648).

101292 is an abundant number, since it is smaller than the sum of its proper divisors (146004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101292 is a wasteful number, since it uses less digits than its factorization.

101292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101292 is about 318.2640413242. The cubic root of 101292 is about 46.6149313288.

Adding to 101292 its reverse (292101), we get a palindrome (393393).

It can be divided in two parts, 101 and 292, that multiplied together give a palindrome (29492).

The spelling of 101292 in words is "one hundred one thousand, two hundred ninety-two".